Step function response of non-linear spring mass systems in the presence of Coulomb damping

The transient response of non-linear spring mass systems with Coulomb damping, when subjected to a step function is investigated. For a restricted class of non-linear spring characteristics, exact expressions are developed for (i) the first peak of the response curves, and (ii) the time taken to reach it. A simple, yet accurate linearization procedure is developed for obtaining the approximate time required to reach the first peak, when the spring characteristic is a general function of the displacement. The results are presented graphically in non-dimensional form.

Urey-Bradley potential function for the in-plane vibrations of boric acid

The Urey-Bradley force constants for the in-plane vibrations of the boric acid molecule are calculated using the Wilson's F-G matrix method. They are as follows: KO-H=5·23, KB-O=4·94, HBOH=0·36, {Mathematical expression}, F00=0·68 and FBH=0·98 in units of 105 dynes/cm. Using the force constants, the frequencies are recalculated and the calculated values agree with the observed values satisfactorily. The in-plane vibrational frequencies of deuterated boric acid are also calculated and again satisfactory agreement with the observed values is found.

Preparation of lower oxide of sulphur

RECENT work on the lower oxide of sulphur1,2 has established that disulphur monoxide (S2O) or its polymeric form is produced when sulphur is burnt in oxygen under reduced pressure. It has now been shown that it is possible to make use of an oxide of a heavy metal as a source of limited supply of oxygen to prepare the disulphur monoxide. For example, when a mixture of finely powdered cupric oxide and sulphur (1 : 5 by weight) is heated under vacuum in a glass tube gaseous products are evolved. which, on cooling in a trap surrounded by liquid air, will give an orange-red condensate (S2O)x. This condensate also gives off sulphur dioxide in stages as the temperature is raised, finally leaving a residue of elemental sulphur. Copper sulphide and excess of sulphur are left behind in the reaction tube.

Potential functions for hydrogen bond interactions - III. Empirical Potential Function for the Peptide N-H...O=C Hydrogen Bond

A careful comparison of the distribution in the (R, θ)-plane of all NH ... O hydrogen bonds with that for bonds between neutral NH and neutral C=O groups indicated that the latter has a larger mean R and a wider range of θ and that the distribution was also broader than for the average case. Therefore, the potential function developed earlier for an average NH ... O hydrogen bond was modified to suit the peptide case. A three-parameter expression of the form {Mathematical expression}, with △ = R - Rmin, was found to be satisfactory. By comparing the theoretically expected distribution in R and θ with observed data (although limited), the best values were found to be p1 = 25, p3 = - 2 and q1 = 1 × 10-3, with Rmin = 2·95 Å and Vmin = - 4·5 kcal/mole. The procedure for obtaining a smooth transition from Vhb to the non-bonded potential Vnb for large R and θ is described, along with a flow chart useful for programming the formulae. Calculated values of ΔH, the enthalpy of formation of the hydrogen bond, using this function are in reasonable agreement with observation. When the atoms involved in the hydrogen bond occur in a five-membered ring as in the sequence[Figure not available: see fulltext.] a different formula for the potential function is needed, which is of the form Vhb = Vmin +p1△2 +q1x2 where x = θ - 50° for θ ≥ 50°, with p1 = 15, q1 = 0·002, Rmin = 2· Å and Vmin = - 2·5 kcal/mole. © 1971 Indian Academy of Sciences.

USING FLUORESCENT AND NON-FLUORESCENT STEROLS TO STUDY RAFTS AND INTRACELLULAR CHOLESTEROL TRANSPORT IN MAMMALIAN CELLS

Cholesterol is an essential component in the membranes of most eukaryotic cells, in which it mediates many functions including membrane fluidity, permeability and the formation of ordered membrane domains. In this work a fluorescent and a non-fluorescent cholesterol analog were characterized as tools to study cholesterol. Next, these analogs were used to study two specific cell biological processes that involve cholesterol, i.e. the structure and function of ordered membrane domains/rafts and intracellular cholesterol transport. The most common method for studying ordered membrane domains is by disrupting them by cholesterol depletion. Because cholesterol depletion affects many cellular functions besides those mediated by membrane domains, this procedure is highly unspecific. The cellular exchange of cholesterol by desmosterol as a tool to study ordered membrane domains was characterized. It turned out that the ability of desmosterol to form and stabilize membrane domains in vitro was weaker compared to cholesterol. This result was reinforced by atomistic scale simulations that indicated that desmosterol has a lower ordering effect on phospholipid acyl chains. Three procedures were established for exchanging cellular cholesterol by desmosterol. In cells in which desmosterol was the main sterol, insulin signaling was attenuated. The results suggest that this was caused by desmosterol destabilizing membrane rafts. Contrary to its effect on ordered membrane domains it was found that replacing cholesterol by desmosterol does not change cell growth/viability, subcellular sterol distribution, Golgi integrity, secretory pathway, phospholipid composition and membrane fluidity. Together these results suggest that exchanging cellular cholesterol by desmosterol provides a selective tool for perturbing rafts. Next, the importance of cholesterol for the structure and function of caveolae was analyzed by exchanging the cellular cholesterol by desmosterol. The sterol exchange reduced the stability of caveolae as determined by detergent resistance of caveolin-1 and heat resistance of caveolin-1 oligomers. Also the sterol exchange led to aberrations in the caveolar structure; the morphology of caveolae was altered and there was a larger variation in the amount of caveolin-1 molecules per caveola. These results demonstrate that cholesterol is important for caveolar stability and structural homogeneity. In the second part of this work a fluorescent cholesterol analog was characterized as a tool to study cholesterol transport. Tight control of the intracellular cholesterol distribution is essential for many cellular processes. An important mechanism by which cells regulate their membrane cholesterol content is by cholesterol traffic, mostly from the plasma membrane to lipid droplets. The fluorescent sterol probe BODIPY-cholesterol was characterized as a tool to analyze cholesterol transport between the plasma membrane, the endoplasmic reticulum (ER) and lipid droplets. The behavior of BODIPY-cholesterol was compared to that of natural sterols, using both biochemical and live-cell microcopy assays. The results show that the transport kinetics of BODIPY-cholesterol between the plasma membrane, the ER and lipid droplets is similar to that of unesterified cholesterol. Next, BODIPY-cholesterol was utilized to analyze the importance of oxysterol binding protein related proteins (ORPs) for cholesterol transport between the plasma membrane, the ER, and lipid droplets in mammalian cells. By overexpressing all human ORPs it turned out that especially ORP1S and ORP2 enhanced sterol transport from the plasma membrane to lipid droplets. Our results suggest that the increased sterol transport takes place between the plasma membrane and ER and not between the ER and lipid droplets. Simultaneous knockdown of ORP1S and ORP2 resulted in a moderate but significant inhibition of sterol traffic from the plasma membrane to ER and lipid droplets, suggesting a physiological role for these ORPs in this process. The two phenylalanines in an acidic tract (FFAT) motif in ORPs, which mediates interaction with vesicle associated membrane protein associated proteins (VAPs) in the ER, was not necessary for mediating sterol transport. However, VAP silencing slowed down sterol transport, most likely by destabilizing ORPs containing a FFAT motif.

Transcription factor GATA4 and apoptotic TRAIL pathway in granulosa cell function and tumors

Normal growth and development require the precise control of gene expression. Transcription factors are proteins that regulate gene expression by binding specific sequences of DNA. Abnormalities in transcription are implicated in a variety of human diseases, including cancer, endocrine disorders and birth defects. Transcription factor GATA4 has emerged as an important regulator of normal development and function in a variety of endoderm- and mesoderm- derived tissues, including gut, heart and several endocrine organs, such as gonads. Mice harboring a null mutation of Gata4 gene die during embryogenesis due to failure in heart formation, complicating the study of functional role of GATA4 in other organs. However, the expression pattern of GATA4 suggests it may play a role in the regulation of ovarian granulosa cell development, function and apoptosis. This premise is supported by in vitro studies showing that GATA4 regulates several steroidogenic enzymes as well as auto-, para- and endocrine signaling molecules important for granulosa cell function. This study assessed the in vivo role of GATA4 for granulosa cell function by utilizing two genetically modified mouse strains. The findings in the GATA4 deficient mice included delayed puberty, impaired fertility and signs of diminished estrogen production. At the molecular level, the GATA4 deficiency leads to attenuated expression of central steroidogenic genes, Steroidogenic acute regulatory protein (StAR), Side-chain cleavage (SCC), and aromatase as a response to stimulations with exogenous gonadotropins. Taken together, these suggest GATA4 is necessary for the normal ovarian function and female fertility. Programmed cell death, apoptosis, is a crucial part of normal ovarian development and function. In addition, disturbances in apoptosis have been implicated to pathogenesis of human granulosa cell tumors (GCTs). Apoptosis is controlled by extrinsic and intrinsic pathways. The intrinsic pathway is regulated by members of Bcl-2 family, and its founding member, the anti-apoptotic Bcl-2, is known to be important for granulosa cell survival. This study showed that the expression levels of GATA4 and Bcl-2 correlate in the human GCTs and that GATA4 regulates Bcl-2 expression, presumably by directly binding to its promoter. In addition, disturbing GATA4 function was sufficient to induce apoptosis in cultured GCT- derived cell line. Taken together, these results suggest GATA4 functions as an anti-apoptotic factor in GCTs. The extrinsic apoptotic pathway is controlled by the members of tumor necrosis factor (TNF) superfamily. An interesting ligand of this family is TNF-related apoptosis-inducing ligand (TRAIL), possessing a unique ability to selectively induce apoptosis in malignant cells. This study characterized the previously unknown expression of TRAIL and its receptors in both developing and adult human ovary, as well as in malignant granulosa cell tumors. TRAIL pathway was shown to be active in GCTs suggesting it may be a useful tool in treating these malignancies. However, more studies are required to assess the function of TRAIL pathway in normal ovaries. In addition to its ability to induce apoptosis in GCTs, this study revealed that GATA4 protects these malignancies from TRAIL-induced apoptosis. GATA4 presumably exerts this effect by regulating the expression of anti-apoptotic Bcl-2. This is of particular interest as high expression of GATA4 is known to correlate to aggressive GCT behavior. Thus, GATA4 seems to protect GCTs from endogenous TRAIL by upregulating anti-apoptotic factors such as Bcl-2.

Cystatin C, a measure of renal function, as prognostic risk marker in acute heart failure : Studies on the cardiorenal syndrome

Acute heart failure (AHF) is a complex syndrome associated with exceptionally high mortality. Still, characteristics and prognostic factors of contemporary AHF patients have been inadequately studied. Kidney function has emerged as a very powerful prognostic risk factor in cardiovascular disease. This is believed to be the consequence of an interaction between the heart and kidneys, also termed the cardiorenal syndrome, the mechanisms of which are not fully understood. Renal insufficiency is common in heart failure and of particular interest for predicting outcome in AHF. Cystatin C (CysC) is a marker of glomerular filtration rate with properties making it a prospective alternative to the currently used measure creatinine for assessment of renal function. The aim of this thesis is to characterize a representative cohort of patients hospitalized for AHF and to identify risk factors for poor outcome in AHF. In particular, the role of CysC as a marker of renal function is evaluated, including examination of the value of CysC as a predictor of mortality in AHF. The FINN-AKVA (Finnish Acute Heart Failure) study is a national prospective multicenter study conducted to investigate the clinical presentation, aetiology and treatment of, as well as concomitant diseases and outcome in, AHF. Patients hospitalized for AHF were enrolled in the FINN-AKVA study, and mortality was followed for 12 months. The mean age of patients with AHF is 75 years and they frequently have both cardiovascular and non-cardiovascular co-morbidities. The mortality after hospitalization for AHF is high, rising to 27% by 12 months. The present study shows that renal dysfunction is very common in AHF. CysC detects impaired renal function in forty percent of patients. Renal function, measured by CysC, is one of the strongest predictors of mortality independently of other prognostic risk markers, such as age, gender, co-morbidities and systolic blood pressure on admission. Moreover, in patients with normal creatinine values, elevated CysC is associated with a marked increase in mortality. Acute kidney injury, defined as an increase in CysC within 48 hours of hospital admission, occurs in a significant proportion of patients and is associated with increased short- and mid-term mortality. The results suggest that CysC can be used for risk stratification in AHF. Markers of inflammation are elevated both in heart failure and in chronic kidney disease, and inflammation is one of the mechanisms thought to mediate heart-kidney interactions in the cardiorenal syndrome. Inflammatory cytokines such as interleukin-6 (IL-6) and tumor necrosis factor-alpha (TNF-α) correlate very differently to markers of cardiac stress and renal function. In particular, TNF-α showed a robust correlation to CysC, but was not associated with levels of NT-proBNP, a marker of hemodynamic cardiac stress. Compared to CysC, the inflammatory markers were not strongly related to mortality in AHF. In conclusion, patients with AHF are elderly with multiple co-morbidities, and renal dysfunction is very common. CysC demonstrates good diagnostic properties both in identifying impaired renal function and acute kidney injury in patients with AHF. CysC, as a measure of renal function, is also a powerful prognostic marker in AHF. CysC shows promise as a marker for assessment of kidney function and risk stratification in patients hospitalized for AHF.

Plexin B2 in mouse and zebrafish development

Plexins (plxn) are receptors of semaphorins (sema), which were originally characterized as axon guidance cues. Semaphorin-plexin signalling has now been implicated in many other developmental and pathological processes. In this thesis, my first aim was to study the expression of plexins during mouse development. My second aim was to study the function of Plexin B2 in the development of the kidney. Thirdly, my objective was to elucidate the evolutionary conservation of Plexin B2 by investigating its sequence, expression and function in developing zebrafish. I show by in situ hybridisation that plexins are widely expressed also in the non-neuronal tissues during mouse development. Plxnb1 and Plxnb2, for example, are expressed also in the ureteric epithelium, developing glomeruli and undifferentiated metanephric mesenchyme of the developing kidney. Plexin B2-deficient (Plxnb2-/-) mice die before birth and have severe defects in the nervous system. I demonstrate that they develop morphologically normal but hypoplastic kidneys. The ureteric epithelium of Plxnb2-/- kidneys has fewer branches and a lower rate of proliferating cells. 10% of the embryos show unilateral double ureters and kidneys. The defect in the branching is intrinsic to the epithelium as the isolated ureteric epithelium grown in vitro fails to respond to Glial-cell-line-derived neurotrophic factor (Gdnf). We prove by co-immunoprecipitation that Plexin B2 interacts with the Gdnf-receptor Ret. Sema4C, the Plexin B2 ligand, increases branching of the ureteric epithelium in controls but not in Plxnb2-/- kidney explants. These results suggest that Sema4C-Plexin B2 signalling modulates ureteric branching in a positive manner, possibly through directly regulating the activation of Ret. I cloned the zebrafish orthologs of Plexin B2, Plexin B2a and B2b. The corresponding proteins contain the conserved domains the B-subfamily plexins. Especially the expression pattern of plxnb2b recapitulates many aspects of the expression pattern of Plxnb2 in mouse. Plxnb2a and plxnb2b are expressed, for example, in the pectoral fins and at the midbrain-hindbrain region during zebrafish development. The nearly complete knockdown of Plexin B2a alone or together with the 45% knockdown of Plexin B2b did not interfere with the normal development of the zebrafish. In conclusion, my thesis reveals that plexins are broadly expressed during mouse embryogenesis. It also shows that Sema4C-Plexin B2 signalling modulates the branching of the ureteric epithelium during kidney development, perhaps through a direct interaction with Ret. Finally, I show that the sequence and expression of Plexin B2a and B2b are conserved in zebrafish. Their knockdown does not, however, result in the exencephaly phenotype of Plxnb2-/- mice.

Role and function of nonmuscle alpha-actinin-1 and -4 in regulating distinct subcategories of actin stress fibers in mammalian cells

Actin stress fibers are dynamic structures in the cytoskeleton, which respond to mechanical stimuli and affect cell motility, adhesion and invasion of cancer cells. In nonmuscle cells, stress fibers have been subcategorized to three distinct stress fiber types: dorsal and ventral stress fibers and transverse arcs. These stress fibers are dissimilar in their subcellular localization, connection to substratum as well as in their dynamics and assembly mechanisms. Still uncharacterized is how they differ in their function and molecular composition. Here, I have studied involvement of nonmuscle alpha-actinin-1 and -4 in regulating distinct stress fibers as well as their localization and function in human U2OS osteosarcoma cells. Except for the correlation of upregulation of alpha-actinin-4 in invasive cancer types very little is known about whether these two actinins are redundant or have specific roles. The availability of highly specific alpha-actinin-1 antibody generated in the lab, revealed localization of alpha-actinin-1 along all three categories of stress fibers while alphaactinin-4 was detected at cell edge, distal ends of stress fibers as well as perinuclear regions. Strikingly, by utilizing RNAi-mediated gene silencing of alpha-actinin-1 resulted in specific loss of dorsal stress fibers and relocalization of alpha-actinin-4 to remaining transverse arcs and ventral stress fibers. Unexpectedly, aberrant migration was not detected in cells lacking alpha-actinin-1 even though focal adhesions were significantly smaller and fewer. Whereas, silencing of alpha-actinin-4 noticeably affected overall cell migration. In summary, as part of my master thesis study I have been able to demonstrate distinct localization and functional patterns for both alpha-actinin-1 and -4. I have identified alpha-actinin-1 to be a selective dorsal stress fiber crosslinking protein as well as to be required for focal adhesion maturation, while alpha-actinin-4 was demonstrated to be fundamental for cell migration.

Note: Dynamic point spread function for single and multiphoton fluorescence microscopy

We propose and demonstrate a dynamic point spread function (PSF) for single and multiphoton fluorescence microscopy. The goal is to generate a PSF whose shape and size can be maneuvered from highly localized to elongated one, thereby allowing shallow-to-depth excitation capability during active imaging. The PSF is obtained by utilizing specially designed spatial filter and dynamically altering the filter parameters. We predict potential applications in nanobioimaging and fluorescence microscopy.

Note: Dynamic point spread function for single and multiphoton fluorescence microscopy

We propose and demonstrate a dynamic point spread function (PSF) for single and multiphoton fluorescence microscopy. The goal is to generate a PSF whose shape and size can be maneuvered from highly localized to elongated one, thereby allowing shallow-to-depth excitation capability during active imaging. The PSF is obtained by utilizing specially designed spatial filter and dynamically altering the filter parameters. We predict potential applications in nanobioimaging and fluorescence microscopy.

An approximate analysis of non-linear non-conservative systems subjected to step function excitation

This paper deals with the approximate analysis of the step response of non-linear nonconservative systems by the application of ultraspherical polynomials. From the differential equations for amplitude and phase, set up by the method of variation of parameters, the approximate solutions are obtained by a generalized averaging technique based on ultraspherical polynomial expansions. The Krylov-Bogoliubov results are given by a particular set of these polynomials. The method has been applied to study the step response of a cubic spring mass system in presence of viscous, material, quadratic, and mixed types of damping. The approximate results are compared with the digital and analogue computer solutions and a close agreement has been found between the analytical and the exact results.